He wore tennis shorts and a white sweater with a red V at the neck, the sleeves pushed above the elbows.

Blood dripped down the front of his sweater, soaking into a dark streak of dirt that ran diagonally across the white wool on his shoulder, as though the bright V woven into the neckline had melted, running a darker color.

The battle of the drib-drool continues, but most of New York's knowing sophisticates of Abstract Expressionism are stamping their feet impatiently in expectation of V ( for Vindication ) Day, September first, when Augustus Quasimodo's first one-man show opens at the Guggenheim.

At 100 Amp the 360 cycle ripple was less than 0.5 V ( peak to peak ) with a resistive load.

We are trying to study a linear operator T on the finite-dimensional space V, by decomposing T into a direct sum of operators which are in some sense elementary.

Second, even if the characteristic polynomial factors completely over F into a product of polynomials of degree 1, there may not be enough characteristic vectors for T to span the space V.

On the other hand, the null space of Af and the null space of Af together span V, the former being the subspace spanned by Af and the latter the subspace spanned by Af and Af.

If ( remember this is an assumption ) the minimal polynomial for T decomposes Af where Af are distinct elements of F, then we shall show that the space V is the direct sum of the null spaces of Af.

Let T be a linear operator on the finite-dimensional vector space V over the field F.

Thus the Af are projections which correspond to some direct-sum decomposition of the space V.

Let N be a linear operator on the vector space V.

Let T be a linear operator on the finite-dimensional vector space V over the field F.

Then there is a diagonalizable operator D on V and a nilpotent operator N in V such that ( A ) Af, ( b ) Af.

Let V be a finite-dimensional vector space over an algebraically closed field F, e.g., the field of complex numbers.

Then every linear operator T in V can be written as the sum of a diagonalizable operator D and a nilpotent operator N which commute.

In the primary decomposition theorem, it is not necessary that the vector space V be finite dimensional, nor is it necessary for parts ( A ) and ( B ) that P be the minimal polynomial for T.

Let N be a positive integer and let V be the space of all N times continuously differentiable functions F on the real line which satisfy the differential equation Af where Af are some fixed constants.

If Af denotes the space of N times continuously differentiable functions, then the space V of solutions of this differential equation is a subspace of Af.

If D denotes the differentiation operator and P is the polynomial Af then V is the null space of the operator p (, ), because Af simply says Af.

Let us now regard D as a linear operator on the subspace V.

If we are discussing differentiable complex-valued functions, then Af and V are complex vector spaces, and Af may be any complex numbers.

In the C-plane we construct a set of rectangular Cartesian coordinates u, V with the origin at Q and such that both C and Af have finite slope at Q.

The photocathode sensitivities S, phosphor efficiencies P, and anode potentials V of the individual stages shall be distinguished by means of subscripts 1, and 2, in the text, where required.

The luminous gain of a single stage with Af ( flux gain ) is, to a first approximation, given by the product of the photocathode sensitivity S ( amp / lumen ), the anode potential V ( volts ), and the phosphor conversion efficiency P ( lumen/watt ).

* Apollodorus, Epitome III, 32 – IV, 2 ; V, 21 ;

* Eudokia Angelina, who married ( 1 ) King Stefan I Prvovenčani of Serbia, then ( 2 ) Emperor Alexios V Doukas, and ( 3 ) Leo Sgouros, ruler of Corinth.

AIX Version 1, introduced in 1986 for the IBM 6150 RT workstation, was based on UNIX System V Releases 1 and 2.

AIX / 370 was released in 1990 with functional equivalence to System V Release 2 and 4. 3BSD as well as IBM enhancements.

* Isoforms V and VI are inhibited by Ca < sup > 2 +</ sup > in a calmodulin-independent manner.

The standard potential Bk < sup > 3 +</ sup >/ Bk < sup > 0 </ sup > is − 2. 01 V. The ionization potential of a neutral berkelium atom is 6. 23 eV.

Most commonly, bandwidth refers to the 3-dB bandwidth, that is, the frequency range within which the spectral density ( in W / Hz or V < sup > 2 </ sup >/ Hz ) is above half its maximum value ( or the spectral amplitude, in V or V / Hz, is more than 70. 7 % of its maximum ); that is, above − 3 dB relative to the peak.

These include the cranial nerves number 2 ( CN II ), number 3 ( CN III ), number 5 ( CN V ), number 7 ( CN VII ), and cranial nerves 9 and 10 ( CN IX, CN X ).

IV, V, VI, VII 1, 2 ( in Latin ).

A strong indication of the reliability of Chandrasekhar's formula is that the absolute magnitudes of supernovae of Type Ia are all approximately the same ; at maximum luminosity, M < sub > V </ sub > is approximately-19. 3, with a standard deviation of no more than 0. 3 .< sup >, ( 1 )</ sup > A 1-sigma interval therefore represents a factor of less than 2 in luminosity.

The difference between the avalanche diode ( which has a reverse breakdown above about 6. 2 V ) and the Zener is that the channel length of the former exceeds the mean free path of the electrons, so there are collisions between them on the way out.

The forward potential of these diodes depends on the wavelength of the emitted photons: 2. 1 V corresponds to red, 4. 0 V to violet.

* On February 2, 2000, Philippe Binant, technical manager of Digital Cinema Project at Gaumont in France, realized the first digital cinema projection in Europe with the Texas Instruments mark V prototype projector.

While this reaction will work at any conductive electrode at a sufficiently large potential, platinum catalyzes both hydrogen and oxygen formation, allowing for relatively mild voltages (~ 2 V depending on the pH ).

in period 4: K, Ca, Sc, Ti, V, Cr, Fe, Ni have 1, 2, 3, 4, 5, 6, 8, 10 valence electrons respectively.

It follows from Euler's polyhedron formula, V − E + F = 2 ( where V, E, F are the numbers of vertices, edges, and faces ), that there are exactly 12 pentagons in a fullerene and V / 2 − 10 hexagons.

It was Otto Stolz who gave the axiom of Archimedes its name because it appears as Axiom V of Archimedes ’ On the Sphere and Cylinder.

* Axiom I3: There is a nontrivial elementary embedding of V < sub > λ </ sub > into itself.

* Axiom I2: There is a nontrivial elementary embedding of V into a transitive class M that includes V < sub > λ </ sub > where λ is the first fixed point above the critical point.

* Axiom I1: There is a nontrivial elementary embedding of V < sub > λ + 1 </ sub > into itself.

* Axiom I0: There is a nontrivial elementary embedding of L ( V < sub > λ + 1 </ sub >) into itself with the critical point below λ.

Axiom I1 implies that V < sub > λ + 1 </ sub > ( equivalently, H ( λ < sup >+</ sup >)) does not satisfy V = HOD.

And similarly for Axiom I0 and ordinal definability in L ( V < sub > λ + 1 </ sub >) ( even from parameters in V < sub > λ </ sub >).

However globally, and even in V < sub > λ </ sub >, V = HOD is relatively consistent with Axiom I1.

This was quickly followed by a French translation, in which Hilbert added V. 2, the Completeness Axiom.